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Finding the Fourth Proportional to 402.42, 555.09 and 292.02

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Solution

The fourth proportional to 402.42, 555.09 and 292.02 is: 402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.42 : 555.09 = 292.02 : x
  2. Step 2: Convert to fraction form
    402.42/555.09 = 292.02/x
  3. Step 3: Cross multiply
    402.42x = 555.09 × 292.02
  4. Step 4: Simplify right side
    402.42x = 162,097.38
  5. Step 5: Solve for x
    x = 162,097.38/402.42
  6. Step 6: Final answer
    x = 402.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.